Derivation of Einstein Equation from a New Type of four Dimensional Superstring

TL;DR

This paper introduces a novel four-dimensional superstring model with central charge 26, deriving Einstein's equations from its properties and revealing new insights into quantum gravity and string theory.

Contribution

It proposes a new four-dimensional superstring with unique tachyonic vacua and derives Einstein's equations from this framework, connecting string theory to general relativity.

Findings

Existence of a massless graviton in the model

Derivation of Einstein's equations from string dynamics

Explicit evaluation of propagators in the model

Abstract

A new type of superstring in four dimension is proposed which has the central charge 26. The Neveu Schwarz and the Ramond vacua are both tachyonic. The self energy of the scalar tachyon cancels from the contribution of the fermionic loop of the Ramond sector. The NS tachyonic vacuum is used to construct a massless graviton. Coulombic vector excitations of zero mass, referred as a `Newtonian' graviton are also shown to exist. The propagators are explicitly evaluated. Following the method of Weinberg, we deduce the Einstein's field equation of general relativity.